Dear Julien,
Over all, I'm pretty comfortable with the health system in Jordan and feel safe and secure to put myself and family into the hands of local doctors, many of whom are graduates from the West.
I've had a minor operations involving general and local anesthetic, my dad was cured of cancer here (in the King Hussein Cancer Centre, even though we had the option of going back to UK), my wife went through her pregnancy here, and just had a home-birth three weeks ago.
From what I have seen, medicine in Jordan is just an extension of medicine in US, but just much cheaper.
Due to the dependability, with the exception of government hospitals, and low cost, I personally believe that an °µÍø½ûÇø can rely on being treated in Jordan and being cured without having to have health insurance (though many companies will give you that in your contract anyway).
I hope this helps.
Farid